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Finding the Fourth Proportional to 461,770.90, 692,729.25 and 195,533.08

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Solution

The fourth proportional to 461,770.90, 692,729.25 and 195,533.08 is: 293,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,770.90 : 692,729.25 = 195,533.08 : x
  2. Step 2: Convert to fraction form
    461,770.90/692,729.25 = 195,533.08/x
  3. Step 3: Cross multiply
    461,770.90x = 692,729.25 × 195,533.08
  4. Step 4: Simplify right side
    461,770.90x = 135,451,483,858.59
  5. Step 5: Solve for x
    x = 135,451,483,858.59/461,770.90
  6. Step 6: Final answer
    x = 293,330.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.